61461406304 has 24 divisors (see below), whose sum is σ = 121172854320. Its totient is φ = 30687348096.

The previous prime is 61461406301. The next prime is 61461406339. The reversal of 61461406304 is 40360416416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61461406301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1331804 + ... + 1377179.

It is an arithmetic number, because the mean of its divisors is an integer number (5048868930).

Almost surely, 2^61461406304 is an apocalyptic number.

It is an amenable number.

61461406304 is a deficient number, since it is larger than the sum of its proper divisors (59711448016).

61461406304 is a wasteful number, since it uses less digits than its factorization.

61461406304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709702 (or 2709694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 61461406304 in words is "sixty-one billion, four hundred sixty-one million, four hundred six thousand, three hundred four".